Information on Result #1014487
Linear OOA(8128, 5603391, F8, 3, 13) (dual of [(5603391, 3), 16810045, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(830, 10989, F8, 3, 6) (dual of [(10989, 3), 32937, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(84, 65, F8, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
- linear OOA(826, 10924, F8, 3, 6) (dual of [(10924, 3), 32746, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(826, 32772, F8, 6) (dual of [32772, 32746, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(826, 32773, F8, 6) (dual of [32773, 32747, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(821, 32768, F8, 5) (dual of [32768, 32747, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(826, 32773, F8, 6) (dual of [32773, 32747, 7]-code), using
- OOA 3-folding [i] based on linear OA(826, 32772, F8, 6) (dual of [32772, 32746, 7]-code), using
- (u, u+v)-construction [i] based on
- linear OOA(898, 5592402, F8, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8128, 2801695, F8, 15, 13) (dual of [(2801695, 15), 42025297, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |